On the stable reduction of the Lubin-Tate curve of level two in the equal characteristic case
On the stable reduction of the Lubin-Tate curve of level two in the equal characteristic case
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等特征情况下二级Lubin-Tate曲线的稳定缩减
DOI：
10.1016/j.jnt.2014.07.016
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发表时间：
2015
期刊：
影响因子：
--
通讯作者：
Takahiro Tsushima
中科院分区：
文献类型：
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作者：
N. Kurosawa;N. Hayashi;E. Arahata,Y. Kato;Takahiro Tsushima
在奇剩余特征的情形下，Weinstein把Lubin-Tate曲线稳定约化中的不可约分量分成四类，直到纯不可分映射。在类型理论和完美空间理论的基础上，他证明了这一点。本文在等特征情形下，实际上构造了包含特征二情形的水平二Lubin-Tate曲线的稳定覆盖。我们的方法是纯粹的本地，明确和初等的基础上的想法科尔曼-麦克默迪。
In the odd residual characteristic case, Weinstein classifies irreducible components in the stable reduction of the Lubin–Tate curve into four types up to purely inseparable map. On the basis of the type theory and the theory of perfectoid space, he shows this. In this paper, in the equal characteristic case, we actually construct the stable covering of the Lubin–Tate curve of level two including the characteristic two case. Our method is purely local, explicit and elementary only on the basis of ideas of Coleman–McMurdy.